Sarah and Kurt sold rolls of wrapping paper to raise money for a school trip. The number of rolls that Kurt sold was 20 less than 3 × the number of rolls that Sarah sold. Which of the following could be the total number of rolls that Sarah and Kurt sold?
164 could be the total number of rolls that Sarah and Kurt sold.
To find the total number of rolls sold, we can set up an equation based on the information given. If S represents the number of rolls Sarah sold, then Kurt sold 3S - 20 rolls. The total number of rolls sold is S + (3S - 20) = 4S - 20. We need to check which of the given options can be expressed in this form.
If we set the total equal to 164, we have:
4S - 20 = 164
4S = 184
S = 46.
Since S is a whole number, this is a valid solution. Therefore, 164 could be the total number of rolls sold.
Setting the total to 165 gives:
4S - 20 = 165
4S = 185
S = 46.25.
This results in a non-integer value for S, which is not possible since the number of rolls sold must be a whole number.
For a total of 170:
4S - 20 = 170
4S = 190
S = 47.5.
Again, this is a non-integer solution, rendering 170 impossible as the total number of rolls sold.
Lastly, for a total of 175:
4S - 20 = 175
4S = 195
S = 48.75.
This is also a non-integer value, making 175 an invalid option.
Among the options provided, only 164 yields a valid integer solution for the number of rolls that Sarah sold, fulfilling the conditions of the problem. The other options result in non-integer solutions, disqualifying them from being the total number of rolls sold by Sarah and Kurt. Thus, 164 remains the only feasible total.
Related Questions
View allJinghua hiked 4.5 miles through the woods in 2.25 hours. She hiked the...
Which number is equal to 10^-4?
Mariha is evaluating three different driving schools. She asked 50 peo...
At a used book sale, Sarah bought x paperback books priced at $0.25 ea...
In the xy-plane, line l passes through the points (4, 4) and (9, 6). W...
Related Quizzes
View allACCUPLACER Next Generation Arithmetic
Next Generation ACCUPLACER Arithmetic Practice Test
ACCUPLACER Next Generation Arithmetic Answers
Next Generation Arithmetic ACCUPLACER
Next-Generation ACCUPLACER Arithmetic
ACCUPLACER Next-Generation Arithmetic Scores
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics Answers
Next Generation ACCUPLACER Scores Quantitative Reasoning Algebra and Statistics
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics Scores
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations